An approach for modeling non-ageing linear viscoelastic composites with general periodicity

Cruz-González, O.L. et al. (2019) An approach for modeling non-ageing linear viscoelastic composites with general periodicity. Composite Structures, 223, 110927. (doi: 10.1016/j.compstruct.2019.110927)

Abstract

The present work deals with the modeling of non-ageing linear viscoelastic composite materials and quasi-periodic microstructure. The stratified functions and the curvilinear coordinates play an important role in the design of different geometrical shapes. The main objective focuses on the application of two-scales Asymptotic Homogenization Method (AHM) to obtain the overall behavior of the viscoelastic composite materials. Although the whole process is based on the analysis of laminated configurations, a multi-step homogenization scheme to estimate the effective properties of a structure reinforced with long rectangular fibers and wavy effects is used. The associated local problems, the homogenized problem and the analytical expressions for the effective coefficients are obtained by using the correspondence principle and the Laplace-Carson transform. Also, the interconnection between the effective relaxation modulus and the effective creep compliance is performed. Finally, the inversion to the original temporal space is calculated. Some comparisons between the proposed approach and Finite Elements Method (FEM) results are displayed.

• Item Type: Articles
• Additional Information: RR would like to thank MyM-IIMAS-UNAM and PREI-DGAPA-UNAM for financial support. Also, FJS thanks funding from DGAPA, UNAM. This work was supported by the project PAPIIT-DGAPA-UNAM IA100919. The authors are thankful to Ana Pérez Arteaga and Ramiro Chávez Tovar for technical assistance. OLCG kindly thanks to Ecole Doctorale no. 353 de L’Université de Aix Marseille and L’équipe Matériaux & Structures du Laboratoire de Mécanique et d’Acoustique LMA - UMR 7031 AMU - CNRS - Centrale Marseille 4 impasse Nikola Tesla CS 40006 13453 Marseille Cedex 13, France.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Penta, Dr Raimondo
• Authors: Cruz-González, O.L., Guinovart-Sanjuán, D., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Otero, J. A., Dumont, S., Lebon, F., and Sabina, F.J.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Composite Structures
• Publisher: Elsevier
• ISSN: 0263-8223
• ISSN (Online): 1879-1085
• Published Online: 26 April 2019
• Copyright Holders: Copyright © 2019 Elsevier Ltd.
• First Published: First published in Composite Structures 223:110297
• Publisher Policy: Reproduced in accordance with the publisher copyright policy